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Finding the Third Proportional to 121,599 and 284,096

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Solution

The third proportional to 121,599 and 284,096 is: 663,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,599 : 284,096 = 284,096 : x
  2. Step 2: Convert to fraction form
    121,599/284,096 = 284,096/x
  3. Step 3: Cross multiply
    121,599x = 284,096 × 284,096
  4. Step 4: Simplify right side
    121,599x = 80,710,537,216
  5. Step 5: Solve for x
    x = 80,710,537,216/121,599
  6. Step 6: Final answer
    x = 663,743.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.